Initial conditions for relativistic MHD Riemann problems. More...

#include <RiemannProblem.hpp>

Classes
struct	AdiabaticIndex

struct	Lapse

struct	LeftMagneticField

struct	LeftPressure

struct	LeftRestMassDensity

struct	LeftSpatialVelocity

struct	RightMagneticField

struct	RightPressure

struct	RightRestMassDensity

struct	RightSpatialVelocity

struct	ShiftX

Public Types
using	equation_of_state_type = EquationsOfState::IdealFluid< true >

using	options = tmpl::list< AdiabaticIndex, LeftRestMassDensity, RightRestMassDensity, LeftPressure, RightPressure, LeftSpatialVelocity, RightSpatialVelocity, LeftMagneticField, RightMagneticField, Lapse, ShiftX >

Public Member Functions
	RiemannProblem (const RiemannProblem &)=delete

RiemannProblem &	operator= (const RiemannProblem &)=delete

	RiemannProblem (RiemannProblem &&) noexcept=default

RiemannProblem &	operator= (RiemannProblem &&) noexcept=default

	RiemannProblem (double adiabatic_index, double left_rest_mass_density, double right_rest_mass_density, double left_pressure, double right_pressure, const std::array< double, 3 > &left_spatial_velocity, const std::array< double, 3 > &right_spatial_velocity, const std::array< double, 3 > &left_magnetic_field, const std::array< double, 3 > &right_magnetic_field, double lapse, double shift) noexcept

	RiemannProblem (CkMigrateMessage *) noexcept

template<typename DataType , typename... Tags>
tuples::TaggedTuple< Tags... >	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< Tags... >) const noexcept
	Retrieve a collection of hydrodynamic variables at position x.

template<typename DataType , typename Tag >
tuples::TaggedTuple< Tag >	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< Tag >) const noexcept
	Retrieve the metric variables.

const EquationsOfState::IdealFluid< true > &	equation_of_state () const noexcept

void	pup (PUP::er &) noexcept


template<typename DataType >
auto	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::RestMassDensity< DataType > >) const noexcept -> tuples::TaggedTuple< hydro::Tags::RestMassDensity< DataType > >
	Retrieve the GRMHD variables at a given position.

template<typename DataType >
auto	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::SpecificInternalEnergy< DataType > >) const noexcept -> tuples::TaggedTuple< hydro::Tags::SpecificInternalEnergy< DataType > >
	Retrieve the GRMHD variables at a given position.

template<typename DataType >
auto	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::Pressure< DataType > >) const noexcept -> tuples::TaggedTuple< hydro::Tags::Pressure< DataType > >
	Retrieve the GRMHD variables at a given position.

template<typename DataType >
auto	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::SpatialVelocity< DataType, 3 > >) const noexcept -> tuples::TaggedTuple< hydro::Tags::SpatialVelocity< DataType, 3 > >
	Retrieve the GRMHD variables at a given position.

template<typename DataType >
auto	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::MagneticField< DataType, 3 > >) const noexcept -> tuples::TaggedTuple< hydro::Tags::MagneticField< DataType, 3 > >
	Retrieve the GRMHD variables at a given position.

template<typename DataType >
auto	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::DivergenceCleaningField< DataType > >) const noexcept -> tuples::TaggedTuple< hydro::Tags::DivergenceCleaningField< DataType > >
	Retrieve the GRMHD variables at a given position.

template<typename DataType >
auto	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::LorentzFactor< DataType > >) const noexcept -> tuples::TaggedTuple< hydro::Tags::LorentzFactor< DataType > >
	Retrieve the GRMHD variables at a given position.

template<typename DataType >
auto	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::SpecificEnthalpy< DataType > >) const noexcept -> tuples::TaggedTuple< hydro::Tags::SpecificEnthalpy< DataType > >
	Retrieve the GRMHD variables at a given position.

template<typename DataType >
auto	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< gr::Tags::Lapse< DataType > >) const noexcept -> tuples::TaggedTuple< gr::Tags::Lapse< DataType > >
	Retrieve the GRMHD variables at a given position.

template<typename DataType >
auto	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< gr::Tags::Shift< 3, Frame::Inertial, DataType > >) const noexcept -> tuples::TaggedTuple< gr::Tags::Shift< 3, Frame::Inertial, DataType > >
	Retrieve the GRMHD variables at a given position.

Static Public Attributes
static constexpr Options::String	help

Friends
bool	operator== (const RiemannProblem &lhs, const RiemannProblem &rhs) noexcept

bool	operator!= (const RiemannProblem &lhs, const RiemannProblem &rhs) noexcept

Detailed Description

Initial conditions for relativistic MHD Riemann problems.

The standard problems were first collected in [6]. A complete Riemann solver for the RMHD equations is presented in [49] and can be downloaded from https://www.brunogiacomazzo.org/?page_id=395

The domain is from \([-0.5,0.5]^3\) with periodic boundary conditions in \(y\) and \(z\). The problems are usually run at a resolution of 1600 finite difference/finite volume grid points and the initial discontinuity is located at \(x=0\).

While the problems were originally run in Minkowski space, changing the lapse \(\alpha\) to a non-unity constant value and/or the shift \(\beta^x\) to a non-zero constant value allows testing some of the metric terms in the evolution equations in a fairly simple setup.

Below are the initial conditions for the 5 different Balsara Riemann problems. Please note that RP5 has a different final time than the rest, and that RP1 has a different adiabatic index than the rest.

RP1:

AdiabaticIndex: 2.0
LeftDensity: 1.0
LeftPressure: 1.0
LeftVelocity: [0.0, 0.0, 0.0]
LeftMagneticField: [0.5, 1.0, 0.0]
RightDensity: 0.125
RightPressure: 0.1
RightVelocity: [0.0, 0.0, 0.0]
RightMagneticField: [0.5, -1.0, 0.0]
Lapse: 1.0
ShiftX: 0.0
Final time: 0.4

RP2:

AdiabaticIndex: 1.66666666666666666
LeftDensity: 1.0
LeftPressure: 30.0
LeftVelocity: [0.0, 0.0, 0.0]
LeftMagneticField: [5.0, 6.0, 6.0]
RightDensity: 1.0
RightPressure: 1.0
RightVelocity: [0.0, 0.0, 0.0]
RightMagneticField: [5.0, 0.7, 0.7]
Lapse: 1.0
ShiftX: 0.0
Final time: 0.4

RP3:

AdiabaticIndex: 1.66666666666666666
LeftDensity: 1.0
LeftPressure: 1000.0
LeftVelocity: [0.0, 0.0, 0.0]
LeftMagneticField: [10.0, 7.0, 7.0]
RightDensity: 1.0
RightPressure: 0.1
RightVelocity: [0.0, 0.0, 0.0]
RightMagneticField: [10.0, 0.7, 0.7]
Lapse: 1.0
ShiftX: 0.0
Final time: 0.4

RP4:

AdiabaticIndex: 1.66666666666666666
LeftDensity: 1.0
LeftPressure: 0.1
LeftVelocity: [0.999, 0.0, 0.0]
LeftMagneticField: [10.0, 7.0, 7.0]
RightDensity: 1.0
RightPressure: 0.1
RightVelocity: [-0.999, 0.0, 0.0]
RightMagneticField: [10.0, -7.0, -7.0]
Lapse: 1.0
ShiftX: 0.0
Final time: 0.4

RP5:

AdiabaticIndex: 1.66666666666666666
LeftDensity: 1.08
LeftPressure: 0.95
LeftVelocity: [0.4, 0.3, 0.2]
LeftMagneticField: [2.0, 0.3, 0.3]
RightDensity: 1.0
RightPressure: 1.0
RightVelocity: [-0.45, -0.2, 0.2]
RightMagneticField: [2.0, -0.7, 0.5]
Lapse: 1.0
ShiftX: 0.0
Final time: 0.55

Member Data Documentation

◆ help

constexpr Options::String grmhd::AnalyticData::RiemannProblem::help

staticconstexpr

Initial value:

= {
      "Analytic initial data for a GRMHD Riemann problem. The fluid variables "
      "are set homogeneously on either half of the domain left and right of "
      "x=0."}

Classes

Public Types

Public Member Functions

Static Public Attributes

Friends

Detailed Description

Member Data Documentation

◆ help